Find three consecutive integers such that the sum of the second and triple the third is 193 more than the first.

If tan2a=cot(a+60), find the value of a, where 2a is an acute angle

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?

While shopping at a clearance sale, samantha finds a $60.00 dress on sale for 25% off. samantha also has a 50% off coupon. which statement correctly summarizes her savings?